Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar (in cooperation with M. Ghaffari, A. Steger and B. Sudakov)

 Mittagsseminar Talk Information

Date and Time: Thursday, November 05, 2015, 12:15 pm

Duration: 30 minutes

Location: CAB G51

Speaker: Hemant Tyagi

Learning SPAMs with pairwise interaction terms

A function $f: R^d -> R$ is referred to as a Sparse Additive Model (SPAM), if it is of the form $f(x) = \sum_{l \in S_1} \phi_{l}(x_l)$, where $S_1 \subset [d]$ with $|S_1| \ll d$. Assuming $\phi_l$'s and $S_1$ to be unknown, the problem of estimating f from its samples has been studied extensively. We consider a generalized SPAM, also allowing for a sparse number of unknown, pairwise interaction terms, represented by the set S_2. In this talk, we will look at a randomized algorithm that queries f at suitably chosen points and identifies S_1, S_2, along with non-asymptotic sampling bounds. Joint work with Bernd Gärtner, Andreas Krause and Anastasios Kyrillidis.

Previous talks by year:   2018  2017  2016  2015  2014  2013  2012  2011  2010  2009  2008  2007  2006  2005  2004  2003  2002  2001  2000  1999  1998  1997  1996

Information for students and suggested topics for student talks